| Next prime | 4003 |
| Previous prime | 3989 |
| Octal | (7641)8 |
| Hexadecimal | (FA1)16 |
| Prime gap | 2 |
| 104th Twin prime (the small number) | The big number is 4003 . |
| 72nd Prime triplet (the smallest number) | The others are 4003 and 4007 . |
| 203rd Sexy prime (the small number) | The big number is 4007 . |
| 270th Prime of the Form 4n+1 | 402 + 492 |